Answer:
(7x+6y) is a binomial factor of the given expression 
Therefore 
Step-by-step explanation:
Given expression is 
To find the binomial factor :

Rewritting the above expression as


( using the formula
here a=7x and y=6y )
( using the formula
)
Therefore 
(7x+6y) is a binomial factor of the given expression 
Answer:
z = 7
Step-by-step explanation:
Based on the midsegment theorem of a triangle, the length of the midsegment of the triangle (z) = ½ of the length of the 3rd side of the triangle (14)
Thus:
z = ½(14)
z = 7
If A and B are complementary angles, then they add up to 90 degrees.
So A + B = 90 => (x + 24) + (x + 16) = 90 => 2x + 40 = 90 => 2x = 50.
So x = 25, and thus, the measurement of B is (25 + 16) = 41.
The measurement of angle A is (25 + 24) = 49, and indeed they are complementary.
Answer:
a) To earn C he needs at least 68 and less than 98
b) No, he couldn't make it.
Step-by-step explanation:
I. His avg value is (382 + x)/6
I pick a random number and that gave
(68 => to reach 75) and (98 => to reach 80)
So that makes he needs at least 68 and less than 98
II. The reason why he cannot make it is
if 100 is 100%
= (100 + 382)/6
= 80.33 That's impossible to reach 90
Hope that help :)
Answer:
I guess that you want to know the transformations:
We start with:
f(x) = y = 4*x + 3
a)the transformed function is:
f(x) = y = -4*x - 3
So the sign changed.
This means that we go from (x, y) to (x, - y)
This is a reflection over the x-axis which changes the sin of the y component.
b) Now we go to f(x) = 4*x + 3
So the coefficient in the leading term changed.
This is a horizontal contraction:
A horizontal contraction of factor K for the function g(x) is: g(K*x)
In our case, we have:
f(K*x) = 4*(k*x) + 3 = x + 3
4*k*x = x
4*k = 1
k = 1/4
Then the transformation is an horizontal contraction of scale factor 1/4.